Solve the all parts of given problem:

Problem: In a set of experiments for on a hypothetical one electron atom you measure the wavelengths of the photons emitted for the following transitions ending in the ground state: n= 5 to n=1 wavelength= 73.9 nm N=4 to n= 1 wavelength= 75.6 nm n= 3 to n= 1 wavelength= 79.8 nm N=2 to n=1 wavelength= 94.5 nm It is also observed that it take 17.5 eV to ionize this atom.

Part I: What is the energy level for each of the first five n states?

Part II: If an electron made a transition from the n= 4 to the n=2 level, what wavelength of light would it emit?

I don't just need an answer, work and explanations/walkthrough would be much appreciated! Thanks.